## gabbyalicorn one year ago What is the quotient written in scientific notation?

1. gabbyalicorn

2. gabbyalicorn

Is there a shortcut instead of doing the problem 21 times?

3. gabbyalicorn

@triciaal

4. triciaal

most definitely it's called using scientific notation and rules for exponents

5. gabbyalicorn

Yay!

6. triciaal

the general format for scientific notation a*10^n where a is greater than zero and less than 10 n is an integer

7. triciaal

when you multiply numbers/variables with the same base you add the exponents when you divide numbers/variables with the same base you subtract the exponents

8. triciaal

quotient is what you get when you divide

9. gabbyalicorn

Okay, so in this case we are dividing. Tell me if I am doing this correctly, 21-3? Then 2x10 and 8x10.

10. triciaal

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11. gabbyalicorn

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12. triciaal

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13. triciaal

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14. gabbyalicorn

So, I got 250. Is that correct?

15. triciaal

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16. gabbyalicorn

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17. gabbyalicorn

dont leave meh qq

18. gabbyalicorn

19. triciaal

slow down

20. gabbyalicorn

Sorry.

21. triciaal

review the process

22. triciaal

scientific notation is used to work with very large and very small numbers properties for multiplication says you can rearrange how you combine terms to multiply them regroup to work with like terms use arithmetic and rules of exponents format the result in standard format (a*10^n)

23. gabbyalicorn

Can you give me a quick example of regrouping please?

24. triciaal

do you understand the steps I used and can apply them on your own now?

25. gabbyalicorn

Well, I forgot how to regroup like terms and the rest i just am stumped at....

26. triciaal

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27. triciaal

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28. gabbyalicorn

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29. triciaal

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30. gabbyalicorn

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31. triciaal

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32. gabbyalicorn

|dw:1441821197142:dw| yep thats what i got

33. triciaal

using scientific notation we group the 10^n terms

34. triciaal

then apply the rules for exponents to simplify that part

35. gabbyalicorn

But i thought there is no more exponents left...

36. triciaal

I am reviewing the steps how about if you try the original problem by yourself and the let me know if you have any questions

37. gabbyalicorn

Oh, okay. But i thought i was doing the original problem...

38. triciaal

start fresh and do it on your own

39. gabbyalicorn

o-o okay......|dw:1441821875697:dw|

40. triciaal

start by regrouping the "regular" and the "powers of 10"

41. triciaal

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